133661248 has 112 divisors (see below), whose sum is σ = 316975744. Its totient is φ = 54743040.

The previous prime is 133661237. The next prime is 133661249. The reversal of 133661248 is 842166331.

It is a happy number.

133661248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (133661249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1830940 + ... + 1831012.

Almost surely, 2^133661248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133661248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158487872).

133661248 is an abundant number, since it is smaller than the sum of its proper divisors (183314496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133661248 is an equidigital number, since it uses as much as digits as its factorization.

133661248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 133661248 is about 11561.1957859038. The cubic root of 133661248 is about 511.2914189019.

The spelling of 133661248 in words is "one hundred thirty-three million, six hundred sixty-one thousand, two hundred forty-eight".